Least Common Multiple of 6855 and 6863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6855 and 6863 the smallest integer that is 47045865 that is divisible by both numbers.

Least Common Multiple (LCM) of 6855 and 6863 is 47045865.

LCM(6855,6863) = 47045865

LCM of 6855 and 6863

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6855 and 6863

LCM of 6855 and 6863 is 47045865

Least common multiple can be found by multiplying the highest exponent prime factors of 6855 and 6863. First we will calculate the prime factors of 6855 and 6863.

Prime Factorization of 6855


3 6855
5 2285
457 457
1

Prime factors of 6855 are 3, 5,457. Prime factorization of 6855 in exponential form is:

6855 = 31×51×4571

Prime Factorization of 6863


6863 6863
1

Prime factors of 6863 are 6863. Prime factorization of 6863 in exponential form is:

6863 = 68631

Now multiplying the highest exponent prime factors to calculate the LCM of 6855 and 6863.

LCM(6855,6863) = 31×51×4571×68631
LCM(6855,6863) = 47045865

Factors of 6855

List of positive integer factors of 6855 that divides 6855 without a remainder.

1, 3, 5, 15, 457, 1371, 2285, 6855

Factors of 6863

List of positive integer factors of 6863 that divides 6863 without a remainder.

1, 6863

Least Common Multiple of 6855 and 6863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6855 and 6863, than apply into the LCM equation.

GCF(6855,6863) = 1
LCM(6855,6863) = ( 6855 × 6863) / 1
LCM(6855,6863) = 47045865 / 1
LCM(6855,6863) = 47045865

Properties of LCM 6855 and 6863

(i) The LCM of 6863 and 6855 is associative

LCM of 6855 and 6863 = LCM of 6863 and 6855

Related Least Common Multiples of 6855

Related Least Common Multiples of 6863

Frequently Asked Questions on LCM of 6855 and 6863

1. What is the LCM of 6855 and 6863?

Answer: LCM of 6855 and 6863 is 47045865.

2. What are the Factors of 6855?

Answer: Factors of 6855 are 1, 3, 5, 15, 457, 1371, 2285, 6855. There are 8 integers that are factors of 6855. The greatest factor of 6855 is 6855.

3. What are the Factors of 6863?

Answer: Factors of 6863 are 1, 6863. There are 2 integers that are factors of 6863. The greatest factor of 6863 is 6863.

4. How to Find the LCM of 6855 and 6863?

Answer:

Least Common Multiple of 6855 and 6863 = 47045865

Step 1: Find the prime factorization of 6855

6855 = 3 x 5 x 457

Step 2: Find the prime factorization of 6863

6863 = 6863

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 47045865 = 3 x 5 x 457 x 6863

Step 4: Therefore, the least common multiple of 6855 and 6863 is 47045865.